On birational geometry of minimal threefolds with numerically trivial canonical divisors
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作者:
Jiang, Chen
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Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, JapanUniv Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan
Jiang, Chen
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[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan
For a minimal threefold X with and a nef and big Weil divisor L on X, we investigate the birational geometry inspired by L. We prove that |mL| and give birational maps for all . The result remains true under weaker assumption that L is big and has no stable base components.
机构:
Fudan Univ, Shanghai Ctr Math Sci, Shanghai 200438, Peoples R China
Fudan Univ, Sch Math Sci, Shanghai 200438, Peoples R ChinaOsaka Univ, Grad Sch Sci, Dept Math, Osaka 5600043, Japan
Jiang, Chen
Liu, Haidong
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Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Peoples R ChinaOsaka Univ, Grad Sch Sci, Dept Math, Osaka 5600043, Japan
机构:
Fudan Univ, Shanghai Ctr Math Sci, Shanghai 200438, Peoples R China
Fudan Univ, Sch Math Sci, Shanghai 200438, Peoples R ChinaOsaka Univ, Grad Sch Sci, Dept Math, Osaka 5600043, Japan
Jiang, Chen
Liu, Haidong
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Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Peoples R ChinaOsaka Univ, Grad Sch Sci, Dept Math, Osaka 5600043, Japan
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Shanghai Center for Mathematical Sciences & School of Mathematical Sciences,Fudan UniversityDepartment of Mathematics,Graduate School of Science,Osaka University
Chen Jiang
Haidong Liu
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Department of mathematics,Sun Yat-senDepartment of Mathematics,Graduate School of Science,Osaka University
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Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, JapanUniv Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan
Hashizume, Kenta
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Nakamura, Yusuke
Tanaka, Hiromu
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Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, JapanUniv Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan
机构:
Univ Claude Bernard Lyon 1, Univ Lyon, Inst Camille Jordan, CNRS,UMR 5208, F-69622 Villeurbanne, FranceUniv Claude Bernard Lyon 1, Univ Lyon, Inst Camille Jordan, CNRS,UMR 5208, F-69622 Villeurbanne, France
Druel, Stephane
Ou, Wenhao
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Chinese Acad Sci, Acad Math & Syst Sci, 55 ZhongGuanCun East Rd, Beijing 100190, Peoples R ChinaUniv Claude Bernard Lyon 1, Univ Lyon, Inst Camille Jordan, CNRS,UMR 5208, F-69622 Villeurbanne, France
机构:
Univ Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, JapanUniv Tokyo, Grad Sch Math Sci, Meguro Ku, 3-8-1 Komaba, Tokyo 1538914, Japan